Algebraic Inequalities. 1st ed. 2018

種類:

電子ブック

責任表示:

by Hayk Sedrakyan, Nairi Sedrakyan

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2018

著者名:

• Sedrakyan, Hayk.
• Sedrakyan, Nairi.
• SpringerLink (Online service)

シリーズ名:

Problem Books in Mathematics ;

ISBN:

9783319778365 [3319778366]    

注記:

Basic Inequalities and their Applications -- Strum's Method -- The HM-GM-AM-QM Inequalities -- Cauchy-Bunyakovsky-Schwarz Inequality -- Change of Variable(s) Method -- Symmetry and Homogeneity -- The Principle of Mathematical Introduction -- One Useful Inequality -- Using Derivatives and Integrals -- Using Functions -- Jensen's Inequality -- Inequalities of Sequences -- Algebraic Inequalities in Number Theory -- Miscellaneous Inequalities.
This unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving algebraic inequalities. .

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